Well-ventilated eagle’s nest, as some would say (4)

I believe the answer is:

airy

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'well-ventilated' is the definition.
(something well-ventilated has lots of fresh air)

I can't explain the rest of the clue.

Can you help me to learn more?

(Other definitions for airy that I've seen before include "Well ventilated; nonchalant" , "Spacious; nonchalant" , "Breezy" , "Flippant" , "Light, delicate" .)

I've seen this clue in The Times.

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